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Simplifying 16x2y + -24x2 + -12y + 18 = 0 Reorder the terms: 18 + -24x2 + 16x2y + -12y = 0 Solving 18 + -24x2 + 16x2y + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -24x2 + 16x2y + -18 + -12y = 0 + -18 Reorder the terms: 18 + -18 + -24x2 + 16x2y + -12y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -24x2 + 16x2y + -12y = 0 + -18 -24x2 + 16x2y + -12y = 0 + -18 Combine like terms: 0 + -18 = -18 -24x2 + 16x2y + -12y = -18 Add '12y' to each side of the equation. -24x2 + 16x2y + -12y + 12y = -18 + 12y Combine like terms: -12y + 12y = 0 -24x2 + 16x2y + 0 = -18 + 12y -24x2 + 16x2y = -18 + 12y Reorder the terms: 18 + -24x2 + 16x2y + -12y = -18 + 12y + 18 + -12y Reorder the terms: 18 + -24x2 + 16x2y + -12y = -18 + 18 + 12y + -12y Combine like terms: -18 + 18 = 0 18 + -24x2 + 16x2y + -12y = 0 + 12y + -12y 18 + -24x2 + 16x2y + -12y = 12y + -12y Combine like terms: 12y + -12y = 0 18 + -24x2 + 16x2y + -12y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -12x2 + 8x2y + -6y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -12x2 + 8x2y + -6y)' equal to zero and attempt to solve: Simplifying 9 + -12x2 + 8x2y + -6y = 0 Solving 9 + -12x2 + 8x2y + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -12x2 + 8x2y + -9 + -6y = 0 + -9 Reorder the terms: 9 + -9 + -12x2 + 8x2y + -6y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -12x2 + 8x2y + -6y = 0 + -9 -12x2 + 8x2y + -6y = 0 + -9 Combine like terms: 0 + -9 = -9 -12x2 + 8x2y + -6y = -9 Add '6y' to each side of the equation. -12x2 + 8x2y + -6y + 6y = -9 + 6y Combine like terms: -6y + 6y = 0 -12x2 + 8x2y + 0 = -9 + 6y -12x2 + 8x2y = -9 + 6y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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